Finding the Third Proportional to 165,046 and 222,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,046 : 222,874.50 = 222,874.50 : x
2. Step 2: Convert to fraction form
   165,046/222,874.50 = 222,874.50/x
3. Step 3: Cross multiply
   165,046x = 222,874.50 × 222,874.50
4. Step 4: Simplify right side
   165,046x = 49,673,042,750.25
5. Step 5: Solve for x
   x = 49,673,042,750.25/165,046
6. Step 6: Final answer
   x = 300,964.84